Question 1071336
Separate the number line into three regions,
Region 1: {{{x<-6}}}
Region 2: {{{-6<x<5}}}
Region 3:{{{x>5}}}
Test the inequality in each region to see if it's part of the solution.
Region 1
{{{x=-7}}}
{{{(-7+6)(-7-5)^2>0}}}
{{{-1(144)>0}}}
{{{-144>0}}}
False, not part of the solution.
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Region 2
{{{x=0}}}
{{{(0+6)(0-5)^2>0}}}
{{{6(25)>0}}}
{{{150>0}}}
True, part of the solution.
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Region 3
{{{x=6}}}
{{{(6+6)(6-5)^2>0}}}
{{{12(1)>0}}}
{{{12>0}}}
True, part of the solution.
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So then the solution region is,
{{{-6<x<5}}}U{{{x>5}}}